Here are some topics that students have written about, as well as a number of my
suggestions.
I'd really like to see papers related directly to the book, to comparative literature between it and other sources,
and particularly to mathematics.
A paper on some aspect of the book (this is an overlooked range of topics).
Weapons and War in Flatland.
Inconsistencies in the book Flatland.
Demographics/class distribution of Flatland based on material in the book and population modeling.
Compare how the characters in Flatland maintain awareness of their surroundings vs.
how robotic systems maintain recognize their surroundings.
Distribution of Social Classes in Flatland
Spac 101 - Spatial Reasoning (A course in a future Flatland univesity)
A Forethought (extra chapters)
An epilogue (in the style of Abbott).
Temporal Land (an extra chapter)
A short story inspired by characters/events in Flatland.
How the Equality Revolution Began: How a Sphere Became and Isosceles's Guardian
The Life and Times of an Isosceles Triangle
Multidimensional Beings
An Extradimensional Excursion
The Many Dimensions
Non-Euclidian Flatland, such as Hyperbolic Land or Riemann Land.
The Laws of Nature in Flatland
Gravitation in the 2-Dimensional world of Flatland.
Exploration of mathematics related to flatland. For example, three- or four dimensional polyhedra.
Perceiving or understanding objects in dimensions that we cannot direcetly experience.
Euler's formula for polyhedra in three dimensions, as well as its proof, and the search for its proof.
Geometry and Relativity.
The Fundamentals of 2D Projections
A Change in Perspective
Describing 4+ Dimensions and Their Geometry
Perspectives and Prospects
Alone in this Dimension
Higher Dimensions
Almost any topic in geometry.
Compare Flatland to Flatterland.
Literary analysis comparison between Flatland and some other text.
Discussion of some other literature, articles, art, or movies related to/inspired by Flatland.
The Hunger Games in Another Dimension
Flatland, Divergent, and My Society
Topics that have been used, but I'd rather that you avoid as they are further from mathematics
and my expertise.
The Humanities Intersection into Science
An Exploration of Moral Reasoning: Flatland and Moral Consistency
The Conflict of Classes
Flatland Compared to the Modern Age
Shape-ism
How Flatland Created a Parallel Dimension with Victorian England
Victorian women and Flatland.
Theology and Flatland.
Attend to Your Predetermined Position
Dismal and Dominated Societies
A Comparison of Scientists, Nazis, and Sentient Circles